7126801200 has 720 divisors, whose sum is σ = 28711912320. Its totient is φ = 1687080960.

The previous prime is 7126801193. The next prime is 7126801211. The reversal of 7126801200 is 21086217.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×7126801200³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31395487 + ... + 31395713.

It is an arithmetic number, because the mean of its divisors is an integer number (39877656).

Almost surely, 2^7126801200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7126801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14355956160).

7126801200 is an abundant number, since it is smaller than the sum of its proper divisors (21585111120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7126801200 is a wasteful number, since it uses less digits than its factorization.

7126801200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7126801200 is about 84420.3837944368. The cubic root of 7126801200 is about 1924.4127021575.

Adding to 7126801200 its reverse (21086217), we get a palindrome (7147887417).

The spelling of 7126801200 in words is "seven billion, one hundred twenty-six million, eight hundred one thousand, two hundred".